Past exam of the chemistry course of the year 4 of the natural sciences course of the University of Cambridge / 2022 / Paper 1 / 5 / d / ii

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- Solution ii

Solution

For

p > 0

, equivalently

0 \leq q < 1

, the geometric series gives

n = 1 \sum \infty q^{n - 1} p = \frac{p}{1 - q} = 1.

Thus absorption probability is one. The qualification matters: if

p = 0

, the process alternates between

B

and

I

forever and never reaches

A

.

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